Question 3
40 pts Details
40 pts) An athlete whirls around a ball of mass m=6.500 kg tied to a chain such that the ball moves in a uniform circular motion (UCM) with a constant speed of v in the horizontal plane. Assume the position of his shoulder is fixed and is at a height of hs =1.750 m from the ground, the ball is l=1.500 m from his shoulder during UCM, and the chain is at an angle θ=29.70° with the horizontal direction (see figure above). Assume that the mass of the chain is negligible, and neglect air resistance. Hint: g=9.800 m/s^2. Relative error tolerance is 3%. Use ordinary notation. The +x, +y, and +z directions are chosen in the figure.)
1. Draw a free body diagram of the ball during UCM. (Please write your CWID and name in the file. Accepted file types: .pdf, .jpeg, or .jpg) Choose FileNo file chosen
2. Express the magnitude of the vertical (z) component of the tension on the ball in terms of m and g. (Formula answer) Hint: The vertical component of the acceleration is 0. Tz = Calculate the magnitude of the vertical (z) component of the tension on the ball. (Numeric answer, no signs) ITI- Newtons
3. Express the magnitude of the horizontal component of the tension on the ball in terms of m, g, and θ. (Formula answer) (Subscript h means horizontal). Th = Calculate the magnitude of the horizontal component of the tension on the ball (Numeric answer, no signs). Newtons
4. What is the magnitude of the acceleration of the ball during UCM? Oa = m Oa = 0 = 00 (T) m